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Finding the Fourth Proportional to 198,658.98, 297,981.87 and 86,339.31

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Solution

The fourth proportional to 198,658.98, 297,981.87 and 86,339.31 is: 129,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658.98 : 297,981.87 = 86,339.31 : x
  2. Step 2: Convert to fraction form
    198,658.98/297,981.87 = 86,339.31/x
  3. Step 3: Cross multiply
    198,658.98x = 297,981.87 × 86,339.31
  4. Step 4: Simplify right side
    198,658.98x = 25,727,549,048.31
  5. Step 5: Solve for x
    x = 25,727,549,048.31/198,658.98
  6. Step 6: Final answer
    x = 129,506.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.